Magma V2.19-8 Tue Aug 20 2013 23:38:29 on localhost [Seed = 1713373787] Type ? for help. Type -D to quit. Loading file "K11n37__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n37 geometric_solution 9.96524504 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935027237862 1.259557448595 0 2 6 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375036051307 0.731556422636 7 0 1 8 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343206165995 0.695352419513 9 9 7 0 0132 1302 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506856850555 0.608477643072 6 5 0 8 1230 3120 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600837601851 0.571075667366 9 4 1 10 2103 3120 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388759698207 0.671021730523 7 4 10 1 3120 3012 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.424151181650 0.960106435327 2 8 3 6 0132 2310 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.204685788682 1.197595920235 4 10 2 7 3120 1023 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241659310869 0.719685113309 3 10 5 3 0132 2103 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803904215218 0.991918356126 8 9 5 6 1023 2103 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.822496506576 1.247685276396 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 104017784612486855332290603888/102414240363582908182733255*c_1100_1\ ^16 - 113168154534688560261572739168/102414240363582908182733255*c_\ 1100_1^15 + 937176080123670923755933415972/102414240363582908182733\ 255*c_1100_1^14 + 673394697322718096561842389382/102414240363582908\ 182733255*c_1100_1^13 - 1154464419656684428340428632572/10241424036\ 3582908182733255*c_1100_1^12 - 763739673038180761789892067348/10241\ 4240363582908182733255*c_1100_1^11 + 1200727516584110896942360639107/81931392290866326546186604*c_1100_1\ ^10 - 93407972607653082140140096071/40965696145433163273093302*c_11\ 00_1^9 - 360627378641825291465462138153/14630605766226129740390465*\ c_1100_1^8 + 2882651952695976067682624404397/4096569614543316327309\ 33020*c_1100_1^7 + 243104965491673676251633414662/14630605766226129\ 740390465*c_1100_1^6 - 1149515332050690345696498287429/409656961454\ 331632730933020*c_1100_1^5 - 308119391854649213660108254449/2048284\ 80727165816365466510*c_1100_1^4 + 145285128298809954540848783925/81\ 931392290866326546186604*c_1100_1^3 - 13816965620422159162225293198/102414240363582908182733255*c_1100_1^\ 2 - 13293343698900445036854965798/102414240363582908182733255*c_110\ 0_1 - 16551456573104161850028294657/409656961454331632730933020, c_0011_0 - 1, c_0011_10 - 186573527501475246768717664/14630605766226129740390465*c_11\ 00_1^16 + 248291803648566754345207184/14630605766226129740390465*c_\ 1100_1^15 - 1750568615306428125757552176/14630605766226129740390465\ *c_1100_1^14 - 750378908295406929329736876/146306057662261297403904\ 65*c_1100_1^13 + 2125417979799006854224725106/146306057662261297403\ 90465*c_1100_1^12 + 1033336707457662207935101159/146306057662261297\ 40390465*c_1100_1^11 - 581784703696154238834060941/2926121153245225\ 948078093*c_1100_1^10 + 203158300423328961829886890/292612115324522\ 5948078093*c_1100_1^9 + 4126090714671620320851722993/14630605766226\ 129740390465*c_1100_1^8 - 1935390661225022398406744769/146306057662\ 26129740390465*c_1100_1^7 - 2665446166829813247560767227/1463060576\ 6226129740390465*c_1100_1^6 + 847155297196034313473120598/146306057\ 66226129740390465*c_1100_1^5 + 251182977215241875258112071/14630605\ 766226129740390465*c_1100_1^4 - 58065905947151854497455158/29261211\ 53245225948078093*c_1100_1^3 + 39368299675362431688226629/146306057\ 66226129740390465*c_1100_1^2 - 15183962800711356581068771/146306057\ 66226129740390465*c_1100_1 + 17927378152788848602089024/14630605766\ 226129740390465, c_0011_3 + 49324748993951195666755232/14630605766226129740390465*c_1100\ _1^16 - 97874434677956966912111792/14630605766226129740390465*c_110\ 0_1^15 + 506389034405664603886506608/14630605766226129740390465*c_1\ 100_1^14 - 106992495242946818003352332/14630605766226129740390465*c\ _1100_1^13 - 676460280312584170374844518/14630605766226129740390465\ *c_1100_1^12 + 69638714139224866749307163/1463060576622612974039046\ 5*c_1100_1^11 + 198178466957082808139076717/29261211532452259480780\ 93*c_1100_1^10 - 147586703960715478147230536/2926121153245225948078\ 093*c_1100_1^9 - 926645009501109088430354494/1463060576622612974039\ 0465*c_1100_1^8 + 1160168654262268429960257642/14630605766226129740\ 390465*c_1100_1^7 + 429907296813247474676446326/1463060576622612974\ 0390465*c_1100_1^6 - 675545038382515628223351659/146306057662261297\ 40390465*c_1100_1^5 - 8429093304287737865554948/1463060576622612974\ 0390465*c_1100_1^4 + 24442039358153581545168756/2926121153245225948\ 078093*c_1100_1^3 - 18189739718981817436645427/14630605766226129740\ 390465*c_1100_1^2 + 22264801444754588103095198/14630605766226129740\ 390465*c_1100_1 - 3824913578111221211969952/14630605766226129740390\ 465, c_0011_6 - 167772474932264602562768736/14630605766226129740390465*c_110\ 0_1^16 + 191095682538316735346746256/14630605766226129740390465*c_1\ 100_1^15 - 1489972461912086480500728944/14630605766226129740390465*\ c_1100_1^14 - 1021756064674389140899542604/146306057662261297403904\ 65*c_1100_1^13 + 2169045456873527248029281394/146306057662261297403\ 90465*c_1100_1^12 + 1536277252302999181092040751/146306057662261297\ 40390465*c_1100_1^11 - 549475972096790286909201073/2926121153245225\ 948078093*c_1100_1^10 + 16780223904124851160845600/2926121153245225\ 948078093*c_1100_1^9 + 4351160419817235388239983497/146306057662261\ 29740390465*c_1100_1^8 - 1166547764597850409702958626/1463060576622\ 6129740390465*c_1100_1^7 - 3510363248062423898123508498/14630605766\ 226129740390465*c_1100_1^6 + 412184133019378787481979787/1463060576\ 6226129740390465*c_1100_1^5 + 859421089872073784359182454/146306057\ 66226129740390465*c_1100_1^4 - 27379290080392436541750059/292612115\ 3245225948078093*c_1100_1^3 + 25879831641890376539050301/1463060576\ 6226129740390465*c_1100_1^2 + 9038373723740860680317661/14630605766\ 226129740390465*c_1100_1 - 931384445394820509342119/146306057662261\ 29740390465, c_0101_0 - 144633765399749554866972384/14630605766226129740390465*c_110\ 0_1^16 + 156551724658285024231998864/14630605766226129740390465*c_1\ 100_1^15 - 1302605831825030664735865936/14630605766226129740390465*\ c_1100_1^14 - 932160942125989581765609276/1463060576622612974039046\ 5*c_1100_1^13 + 1579686029451046703716391746/1463060576622612974039\ 0465*c_1100_1^12 + 1178519594001401124899853319/1463060576622612974\ 0390465*c_1100_1^11 - 412607753260983601641187559/29261211532452259\ 48078093*c_1100_1^10 + 43569580328860360810548716/29261211532452259\ 48078093*c_1100_1^9 + 3447538272845818784067491988/1463060576622612\ 9740390465*c_1100_1^8 - 835206960755647187789386359/146306057662261\ 29740390465*c_1100_1^7 - 2441726582050564457054571597/1463060576622\ 6129740390465*c_1100_1^6 + 196231939769259945039055373/146306057662\ 26129740390465*c_1100_1^5 + 312762480145116459728296666/14630605766\ 226129740390465*c_1100_1^4 - 30585142383484362148984980/29261211532\ 45225948078093*c_1100_1^3 + 23900605194218860765431179/146306057662\ 26129740390465*c_1100_1^2 + 3985692840218943740346829/1463060576622\ 6129740390465*c_1100_1 + 19243380148169966154261704/146306057662261\ 29740390465, c_0101_1 - 206168208485603000672076704/14630605766226129740390465*c_110\ 0_1^16 + 214320831160172870385570064/14630605766226129740390465*c_1\ 100_1^15 - 1845720359743997470104226656/14630605766226129740390465*\ c_1100_1^14 - 1414747989675170920822167156/146306057662261297403904\ 65*c_1100_1^13 + 2204677962426961035110481346/146306057662261297403\ 90465*c_1100_1^12 + 1757309574015083075538494879/146306057662261297\ 40390465*c_1100_1^11 - 600859689305351358051495790/2926121153245225\ 948078093*c_1100_1^10 + 42525548243908800434055898/2926121153245225\ 948078093*c_1100_1^9 + 5086131822080889123795691363/146306057662261\ 29740390465*c_1100_1^8 - 1013058315309975505854124729/1463060576622\ 6129740390465*c_1100_1^7 - 3701980478024667580715540567/14630605766\ 226129740390465*c_1100_1^6 + 331766958763637258940725878/1463060576\ 6226129740390465*c_1100_1^5 + 623708946730691015625066701/146306057\ 66226129740390465*c_1100_1^4 - 78678215732213131366987743/292612115\ 3245225948078093*c_1100_1^3 - 63304105735952174627088621/1463060576\ 6226129740390465*c_1100_1^2 + 39853223628282306597091219/1463060576\ 6226129740390465*c_1100_1 + 18003627433813932044212324/146306057662\ 26129740390465, c_0101_10 + c_1100_1, c_0101_3 + 139693032123474901122754848/14630605766226129740390465*c_110\ 0_1^16 - 148940981136043703784208048/14630605766226129740390465*c_1\ 100_1^15 + 1259295590815351223650923152/14630605766226129740390465*\ c_1100_1^14 + 920000088604006120027838372/1463060576622612974039046\ 5*c_1100_1^13 - 1479937798496645836184757222/1463060576622612974039\ 0465*c_1100_1^12 - 1113782615158095607978423453/1463060576622612974\ 0390465*c_1100_1^11 + 395106701686244074179040523/29261211532452259\ 48078093*c_1100_1^10 - 49089182814635664028698026/29261211532452259\ 48078093*c_1100_1^9 - 3323097092927196936764392506/1463060576622612\ 9740390465*c_1100_1^8 + 779068964565165668307240283/146306057662261\ 29740390465*c_1100_1^7 + 2302423211062685719652528844/1463060576622\ 6129740390465*c_1100_1^6 - 233691349733565201553885276/146306057662\ 26129740390465*c_1100_1^5 - 258593911263852290282529937/14630605766\ 226129740390465*c_1100_1^4 + 40986954359102895719169357/29261211532\ 45225948078093*c_1100_1^3 - 21658653172391783388481848/146306057662\ 26129740390465*c_1100_1^2 + 15901893612792865929031372/146306057662\ 26129740390465*c_1100_1 - 12445344277638610823446643/14630605766226\ 129740390465, c_0101_7 + 17441939989752528314742592/14630605766226129740390465*c_1100\ _1^16 - 21835920533767082903485312/14630605766226129740390465*c_110\ 0_1^15 + 157792707139962778707421008/14630605766226129740390465*c_1\ 100_1^14 + 98383372863432773911971128/14630605766226129740390465*c_\ 1100_1^13 - 243555535222909533304825488/14630605766226129740390465*\ c_1100_1^12 - 34586085358537688786331932/14630605766226129740390465\ *c_1100_1^11 + 70900288914354028384369095/2926121153245225948078093\ *c_1100_1^10 - 29745640751411222585907205/2926121153245225948078093\ *c_1100_1^9 - 518169870851740924934715454/1463060576622612974039046\ 5*c_1100_1^8 + 313519884254932517750274382/146306057662261297403904\ 65*c_1100_1^7 + 301470789807767886115123226/14630605766226129740390\ 465*c_1100_1^6 - 305718007078266483334398009/1463060576622612974039\ 0465*c_1100_1^5 - 5783180551156671382505508/14630605766226129740390\ 465*c_1100_1^4 + 35938012285379170375338430/29261211532452259480780\ 93*c_1100_1^3 - 16461968501710550264150962/146306057662261297403904\ 65*c_1100_1^2 - 8891629883982337892098527/1463060576622612974039046\ 5*c_1100_1 + 9934443121782127437812888/14630605766226129740390465, c_1001_2 + 17441939989752528314742592/14630605766226129740390465*c_1100\ _1^16 - 21835920533767082903485312/14630605766226129740390465*c_110\ 0_1^15 + 157792707139962778707421008/14630605766226129740390465*c_1\ 100_1^14 + 98383372863432773911971128/14630605766226129740390465*c_\ 1100_1^13 - 243555535222909533304825488/14630605766226129740390465*\ c_1100_1^12 - 34586085358537688786331932/14630605766226129740390465\ *c_1100_1^11 + 70900288914354028384369095/2926121153245225948078093\ *c_1100_1^10 - 29745640751411222585907205/2926121153245225948078093\ *c_1100_1^9 - 518169870851740924934715454/1463060576622612974039046\ 5*c_1100_1^8 + 313519884254932517750274382/146306057662261297403904\ 65*c_1100_1^7 + 301470789807767886115123226/14630605766226129740390\ 465*c_1100_1^6 - 305718007078266483334398009/1463060576622612974039\ 0465*c_1100_1^5 - 5783180551156671382505508/14630605766226129740390\ 465*c_1100_1^4 + 35938012285379170375338430/29261211532452259480780\ 93*c_1100_1^3 - 16461968501710550264150962/146306057662261297403904\ 65*c_1100_1^2 - 8891629883982337892098527/1463060576622612974039046\ 5*c_1100_1 + 9934443121782127437812888/14630605766226129740390465, c_1100_1^17 - 3/2*c_1100_1^16 + 19/2*c_1100_1^15 + 21/8*c_1100_1^14 - 211/16*c_1100_1^13 - 113/32*c_1100_1^12 + 561/32*c_1100_1^11 - 255/32*c_1100_1^10 - 729/32*c_1100_1^9 + 499/32*c_1100_1^8 + 225/16*c_1100_1^7 - 277/32*c_1100_1^6 - 9/8*c_1100_1^5 + 79/32*c_1100_1^4 - 27/32*c_1100_1^3 - 1/32*c_1100_1^2 - 1/32*c_1100_1 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB